Write as an Equation g(x)=(1/4)^x

$g (x) = {(\frac{1}{4})}^{x}$

Rewrite the function as an equation.

$y = {(\frac{1}{4})}^{x}$

Simplify ${(\frac{1}{4})}^{x}$ .

Apply the product rule to $\frac{1}{4}$ .

$y = \frac{1^{x}}{4^{x}}$

One to any power is one.

$y = \frac{1}{4^{x}}$